1480980848256 has 576 divisors, whose sum is σ = 5536611269280. Its totient is φ = 390583130112.

The previous prime is 1480980848233. The next prime is 1480980848317. The reversal of 1480980848256 is 6528480890841.

1480980848256 is a `hidden beast` number, since 1 + 480 + 98 + 0 + 8 + 48 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1480980848256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1480980848193 and 1480980848202.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19775875 + ... + 19850621.

Almost surely, 2^{1480980848256} is an apocalyptic number.

1480980848256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480980848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768305634640).

1480980848256 is an abundant number, since it is smaller than the sum of its proper divisors (4055630421024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1480980848256 is an equidigital number, since it uses as much as digits as its factorization.

1480980848256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74803 (or 74772 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 1480980848256 in words is "one trillion, four hundred eighty billion, nine hundred eighty million, eight hundred forty-eight thousand, two hundred fifty-six".